Question

Solving a word problem using a two step linear inequality

Answer 1

Given data:

Spend less than $57

Cost of the boat: $6 per hour

Coupon: $3 off

t is the number of hours

The cost for rent a boat is: 3 subtracted from 6 times the number of hours (6t-3)

Then, 6t-3 needs to be less than 57:

`6t-3\le57`

Solve t:

`\begin{gathered} Add\text{ 3 in both sides of the inequality:} \\ 6t-3+3\le57+3 \\ 6t\le60 \\ \\ \text{Divide both sides of the inequality by 6:} \\ (6)/(6)t\le<(60)/(6) \\ \\ t\le10 \end{gathered}`

The solution for the inequality is:

`t\le10`